Impact of Common Fixed Point in 2- Complete Fuzzy Metric Spaces Using Different Property

Abstract

In the present paper we find the impact of common fixed point in 2-complete Fuzzy Metric. This theorem is a
version of many fixed point theorems in complete metric spaces, given by many authors announced in the literature .Fixed
point theory on fuzzy metric space is combination of fuzzy set theory and fixed point theory. Fuzzy set theory has very wide
range applications due to concept of fuzzy set and fuzzy logic. The present paper is aimed at obtaining a new common fixed
point theorem on 2-complete fuzzy metric space which satisfies a contractive condition. We are using the concept of complete
metric spaces and some property in this theorem.